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arXiv · 0906.3027

When is a Riesz distribution a complex measure?

Alan D. Sokal
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Abstract

Let R_\alpha be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by the complex number \alpha. I give an elementary proof of the necessary and sufficient condition for R_\alpha to be a locally finite complex measure (= complex Radon measure).

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Alan D. Sokal. 2009-06-16. When is a Riesz distribution a complex measure?. https://doi.org/10.24033/bsmf.2617

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